ISBN: 9789027721518

Hilbert's Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philoso… Meer...

Hilbert's Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philosophical truth: namely, that there is a discrepancy between the laws accord­ ing to which the mind of homo mathematicus works, and the laws governing objective mathematical fact. Mathematical epistemology is, therefore, to be seen as a struggle between a mind that naturally works in one way and a reality that works in another. Knowledge occurs when the two cooperate. Conceived in this way, there are two basic alternatives for mathematical epistemology: a skeptical position which maintains either that mind and reality seldom or never come to agreement, or that we have no very reliable way of telling when they do; and a non-skeptical position which holds that there is significant agree­ ment between mind and reality, and that their potential discrepan­ cies can be detected, avoided, and thus kept in check. Of these two, Hilbert clearly embraced the latter, and proposed a program designed to vindicate the epistemological riches represented by our natural, if non-literal, ways of thinking. Brouwer, on the other hand, opted for a position closer (in Hilbert's opinion) to that of the skeptic. Having decided that epistemological purity could come only through sacrifice, he turned his back on his classical heritage to accept a higher calling. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Springer Netherlands Core >2 >T<

1986, ISBN: 9789027721518

Springer, Gebundene Ausgabe, Auflage: 1986, 200 Seiten, Publiziert: 1986-04-30T00:00:01Z, Produktgruppe: Buch, 1.03 kg, Verkaufsrang: 4326471, Logik, Philosophie, Sozialwissenschaft, Kate… Meer...

Springer, Gebundene Ausgabe, Auflage: 1986, 200 Seiten, Publiziert: 1986-04-30T00:00:01Z, Produktgruppe: Buch, 1.03 kg, Verkaufsrang: 4326471, Logik, Philosophie, Sozialwissenschaft, Kategorien, Bücher, Wissen nach Themen, Schule & Lernen, Mathematik, Naturwissenschaften & Technik, Fremdsprachige Bücher, Featured Categories, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, Springer, 1986<

1986, ISBN: 9789027721518

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[ED: Gebunden], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Hilbert s Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistib, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Hardcover, 186, [GW: 476g], 1. Auflage, Banküberweisung, PayPal, [CT: Religion/Philosophie / Philosophie allgemein]<

1986, ISBN: 9027721513

[EAN: 9789027721518], Neubuch, [PU: Springer], Clean and crisp and new!, Books